Question

Suppose a triangle is drawn on a coordinate plane. Using vertices with the coordinates (1, 1), (4, 1), and (5, 4), compute the perimeter. Round your answer to the nearest tenth. (1 point)

Responses

( ) 12 units

( ) 11 units

( ) 11.2 units

( ) 10.5 units

Answer 1

Compute side lengths:
- Between (1,1) and (4,1): 4−1 = 3
- Between (4,1) and (5,4): sqrt((5−4)^2+(4−1)^2) = sqrt(1+9) = sqrt(10) ≈ 3.1623
- Between (1,1) and (5,4): sqrt((5−1)^2+(4−1)^2) = sqrt(16+9) = 5

Perimeter = 3 + sqrt(10) + 5 = 8 + sqrt(10) ≈ 11.1623 → 11.2 units.

So the correct response is: ( ) 11.2 units